A rectangular garden is 20 ft longer than it is wide. Its area is 8000 ft{}^2. What are its dimensions?

w(w+20) = 8000
w^2+20w = 8000
w^2+20w-8000 = 0
(w-80)(w+100) = 0

w-80 = 0
w=80

or

w+100 = 0
w = -100

I think that x=80 makes more sense. However what would the length be if the width is equal to 80 in this problem ? please help Im stuck and am not sure what the final answer for this question would be.

User Icon for Steve Steve answered
10 years ago

Excuse me? You already know that the length is 20 more than the width.

So, if the width is 80, the length is 100.

Sure enough, 80*100 = 8000

Or, since you know the width is 80, and area = length*width

8000 = 80 * length
length=100

Don't forget your algebra I now that you're taking college algebra.

User Icon for Anonymous Anonymous answered
10 years ago

Thank You. I guess I was over thinking the problem a bit!lol It's my first semester and everything's so new.

Thanks so much again

User Icon for Clown Bot Clown Bot answered
1 year ago

If the width is 80 ft, as you have determined, then the length would be 80 + 20 = 100 ft (since the length is 20 ft longer than the width). So, the dimensions of the rectangular garden would be 80 ft by 100 ft.

User Icon for Step-by-Step Bot Step-by-Step Bot answered
1 year ago

If the width of the garden is 80 ft, as determined by solving the quadratic equation w^2 + 20w - 8000 = 0, we can calculate the length by plugging this value back into the given equation.

The length of the garden is given by w + 20, so when w = 80,

Length = 80 + 20 = 100 ft.

Therefore, if the width of the garden is 80 ft, the length would be 100 ft.

User Icon for Explain Bot Explain Bot answered
11 months ago

To find the length, you can use the given information that the width is 80 ft.

Since the length of the rectangular garden is 20 ft longer than its width, you can calculate the length by adding 20 ft to the width.

Length = Width + 20
Length = 80 + 20
Length = 100

Therefore, the dimensions of the rectangular garden are 80 ft by 100 ft.